this is the problem :the apple tv "apple tv"could not be restored.An unknown error occured (10)

Quit and restart iTunes. Make sure it is up to date

Check any security software installed on the system as well as firewall

Try another USB C cable

What is the issue? Why were you trying to restore anyway?

If you do a restore through iTunes, then note the power requirements and the proper USB cable requirements.

without any errors.

Does that mean the above error message doesn’t appear anymore?

Still, when I try to pair with iPhone isn’t possible.

Pair for what? Setup with device / AirPlay / Remote app / other … ?

Apple TV should function perfectly fine without any iPhone. Get to that step first.